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Finding the Fourth Proportional to 26,114.67, 39,178.44 and 7,646.67

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Solution

The fourth proportional to 26,114.67, 39,178.44 and 7,646.67 is: 11,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,114.67 : 39,178.44 = 7,646.67 : x
  2. Step 2: Convert to fraction form
    26,114.67/39,178.44 = 7,646.67/x
  3. Step 3: Cross multiply
    26,114.67x = 39,178.44 × 7,646.67
  4. Step 4: Simplify right side
    26,114.67x = 299,584,601.79
  5. Step 5: Solve for x
    x = 299,584,601.79/26,114.67
  6. Step 6: Final answer
    x = 11,471.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.